A driving rotation tool includes a socket base, a socket clearance hole inside the socket base and surrounded by three first gripping surfaces, three second gripping surfaces and six third gripping surfaces for development of edge planes around the socket clearance hole wherein the third gripping surface is located between the first gripping surface and the second gripping surface for circular permutation of first gripping surface, third gripping surface and second gripping surface. The first gripping surface is a cambered surface. The second gripping surface is an angled surface consisting of two adjoining planes which form an obtuse angle. As such, the tool facilitates not only normally driving a nut or a bolt head but also screwing or unscrewing the nut or the bolt head with edges or corners worn out or damaged and further promotes overall convenience, practicability and market competitiveness.